What is the Greatest Common Factor of 12187 and 12200?

Greatest common factor (GCF) of 12187 and 12200 is 1.

GCF(12187,12200) = 1

We will now calculate the prime factors of 12187 and 12200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12187 and 12200.

How to find the GCF of 12187 and 12200?

We will first find the prime factorization of 12187 and 12200. After we will calculate the factors of 12187 and 12200 and find the biggest common factor number .

Step-1: Prime Factorization of 12187

Prime factors of 12187 are 7, 1741. Prime factorization of 12187 in exponential form is:

12187 = 7¹ × 1741¹

Step-2: Prime Factorization of 12200

Prime factors of 12200 are 2, 5, 61. Prime factorization of 12200 in exponential form is:

12200 = 2³ × 5² × 61¹

Step-3: Factors of 12187

List of positive integer factors of 12187 that divides 12187 without a remainder.

1, 7, 1741

Step-4: Factors of 12200

List of positive integer factors of 12200 that divides 12187 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 61, 100, 122, 200, 244, 305, 488, 610, 1220, 1525, 2440, 3050, 6100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12187 and 12200. The biggest common factor number is the GCF number.
So the greatest common factor 12187 and 12200 is 1.

Also check out the Least Common Multiple of 12187 and 12200